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GCF of 928/236, 667/164

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 928/236, 667/164 i.e 29/9676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 928/236, 667/164.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 928/236,667/164?

Given fractions are 928/236,667/164

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 928/236,667/164, numerators are 928,667

Denominators are 236,164

The GCF of 928,667 is 29 .

LCM of 236,164 is 9676.

The greatest common factor of 928/236,667/164 = [GCF of 928,667]/[LCM of 236,164]= 29/9676

Therefore, the GCF of 928/236,667/164 is 29/9676.

Greatest Common Factor of 928,667

To find the highest common factor of 928,667, we have to find the factors of both numbers and list the highest common factor.

The factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

The factors of 667 are 1, 23, 29, 667

The HCF of 928,667 is 29.

Lets's calculate GCF of 928,667

Greatest Common Factor (GCF) of 928,667 By Common Division

29 928, 667
32, 23

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 928,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,667 By Matching Biggest Common Factor Method

Now, list down the factors of 928

:

1,2,4,8,16,29,32,58,116,232,464,928

Now, list down the factors of 667

:

1,23,29,667

Greatest Common Factor

We found the factors 928,667 . The biggest common factor number is the GCF number.
So the greatest common factor 928,667 is 29.

Lets's calculate LCM of 236,164

Lowest Common Multiple of 236,164 using Common Division

2 236, 164
2 118, 82
59, 41

∴ So the LCM of the given numbers is 2 x 2 x 59 x 41 = 9676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/9676

Therefore, the GCF of Fractions 928/236,667/164 is 29/9676

Least Common Multiple of 236,164 with GCF Formula

Least Common Multiple of 236,164 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 236,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,164) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(236,164) x common factors =4 x 1 = 4

LCM(236,164) = ( 236 × 164 ) / 4

LCM(236,164) = 38704 / 4

LCM(236,164) = 9676


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FAQs on GCF of Fractions of 928/236, 667/164

1. What is the HCF of 928,667?

The HCF of 928,667 is 29

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 928/236, 667/164?

Answer: GCF of Numerators as per given numbers 928/236, 667/164 is

GCF of Numerators i.e. for 928,667 is 29

LCM of denominators i.e. for 236,164 is 9676.

Thus, GCF of Fractions is 29/9676.Finally, GCF of Fractions for 928/236, 667/164 is 29/9676.